Big prybar to pop carrier out, dead blow to smack it back in. Tools needed: Digital vernier caliper, dial indicator, 10-30 inch lb and 40-220 ft lb torque wrench, bearing puller, hydraulic press. There's more just can't remember off top of head.
Set up bearings for quicker easier shim changes. Mix your gear marking compound with some gear oil to thin it a little and put as much force on the gears as you can muster to give a nice clear pattern. This force also helps ensure you've removed all slop from the bearings by adding the appropriate amount of shims. If there is hidden slop your unaware of, it will show itself.
Don't set backlash too tight, you'll burn up the gears. Oil won't make it in between the gear teeth. Don't set backlash too loose. The contact pattern will migrate with accumulated mileage and roll off the edge of the teeth much sooner than if it had been set nominal.
"Societies that lose the cohesion needed for concerted, collective action collapse, either by failing to meet an external threat or from internal conflicts."
1978 CJ5 Wheeler
1997 Grand Cherokee Laredo 4.0 all stock daily driver